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Thermal physics question Watch

1. Hi everyone. I don't know what to do to answer this question. help me plz.

"In some hot countries, tea is served in a pot with a glass 2/3 full of ice. The boiling tea is poured into the glass to fill it. Estimate the remperature of the resulting drink.

Specific latent heat of fusion for ice = 3.3 x 10^5 J/kg
Specific heat capacity of water: 4200
2. You need to estimate only, so assume that the mass of ice is about 2/3 and the water 1/3 (of the total mass) when the glass is full.
Let the mass of the water = m and the ice = 2m.
Initial temperature of tea = 100 deg C
Let final temperature =T [the answer you want]

Equate the heat energy "lost" by this hot tea, to that gained by

1) the ice melting [latent heat]
2) the ice (now water) warming up from zero to T.

Do you know the formulas for heat lost/gained in terms of mass and latent heat; and mass, specific heat capacity and change in temperature?
Use these.

BTW. The "m" will cancel out.

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Updated: November 28, 2010
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